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Finding the Fourth Proportional to 209,201.78, 288,701.40 and 113,708.48

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Solution

The fourth proportional to 209,201.78, 288,701.40 and 113,708.48 is: 156,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,201.78 : 288,701.40 = 113,708.48 : x
  2. Step 2: Convert to fraction form
    209,201.78/288,701.40 = 113,708.48/x
  3. Step 3: Cross multiply
    209,201.78x = 288,701.40 × 113,708.48
  4. Step 4: Simplify right side
    209,201.78x = 32,827,797,367.87
  5. Step 5: Solve for x
    x = 32,827,797,367.87/209,201.78
  6. Step 6: Final answer
    x = 156,919.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.